10635397824 has 224 divisors, whose sum is σ = 29922459840. Its totient is φ = 3328819200.

The previous prime is 10635397793. The next prime is 10635397889. The reversal of 10635397824 is 42879353601.

10635397824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10635397824² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58759014 + ... + 58759194.

It is an arithmetic number, because the mean of its divisors is an integer number (133582410).

It is a 1-persistent number, because it is pandigital, but 2⋅10635397824 = 21270795648 is not.

Almost surely, 2^10635397824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10635397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961229920).

10635397824 is an abundant number, since it is smaller than the sum of its proper divisors (19287062016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10635397824 is a wasteful number, since it uses less digits than its factorization.

10635397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 10635397824 in words is "ten billion, six hundred thirty-five million, three hundred ninety-seven thousand, eight hundred twenty-four".